Technical figure study / plasma

Plasma geometry & spectral diagnostics

Research settingIndependent

Read the geometric reconstruction separately from the saved parameter sweep and graph spectrum. The panels describe different mathematical objects.

Primary plate. The sections below add complementary views, interpretation, and the inspectable record.

01 / Separate the three objects

The flux-surface drawing is reconstructed from a stated Miller parameterization. The beta sweep is saved output from a shaped model. The graph eigenvalues come from the separate Experiment 1 configuration. Their placement on one plate makes them readable together, not mutually validating measurements of one physical system.

An additional geometry comparison varies triangularity. The spectral curve remains the saved shaped-model sweep.

02 / Read the construction

R = 6.2 + Δ₀(1 − r²) + 2r cos(θ + 0.33 sin θ)
Z = 1.7 × 2r sin θ

The nested contours use a normalized radial parameter r. Elongation stretches the vertical coordinate; triangularity changes the angular shape. The displayed curves implement the source equations, without running a plasma equilibrium or transport solver. The supplemental outer-surface comparison holds elongation fixed and varies triangularity explicitly.

03 / Inspect the saved values

Shaped-model beta sweep
Normalized beta	Spectral gap	Worst radial location	Recorded stable flag
0.5	0.00982254	0.05	True
0.8	-0.00949071	0.834615	False
1	-0.198168	0.857692	False
1.2	-0.398591	0.857692	False
1.4	-0.608436	0.880769	False
1.6	-0.769188	0.880769	False
1.8	-0.897392	0.880769	False
2	-1.00674	0.880769	False
2.2	-1.09322	0.880769	False
2.4	-1.16235	0.903846	False
2.6	-1.2052	0.903846	False
2.8	-1.24151	0.926923	False
3	-1.25124	0.926923	False
3.2	-1.27969	0.95	False
3.5	-1.28036	0.95	False
4	-1.14274	0.95	False
4.5	-0.881999	0.880769	False
5	-1.16357	0.880769	False

04 / Interpretation boundary

A sign change in this operator’s spectral gap is a property of this model and discretization. Interpreting it as a physical operating boundary would require the derivation, numerical convergence, parameter sensitivity, and validation appropriate to that claim. No experimentally validated confinement limit follows from this plate alone.

Sources, versions & further reading

Source data / record Read the related research Figure provenance Download the original vector plate Methods & evidence standards

Additional diagnostic plates are analytic constructions or descriptive re-plots of the saved record, as labeled. They do not introduce new experimental validation.